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Finding the Fourth Proportional to 233.92, 350.71 and 110.53

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Solution

The fourth proportional to 233.92, 350.71 and 110.53 is: 165.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.92 : 350.71 = 110.53 : x
  2. Step 2: Convert to fraction form
    233.92/350.71 = 110.53/x
  3. Step 3: Cross multiply
    233.92x = 350.71 × 110.53
  4. Step 4: Simplify right side
    233.92x = 38,763.98
  5. Step 5: Solve for x
    x = 38,763.98/233.92
  6. Step 6: Final answer
    x = 165.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.